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Finding the Third Proportional to 465,336 and 700,773.75

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Solution

The third proportional to 465,336 and 700,773.75 is: 1,055,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,336 : 700,773.75 = 700,773.75 : x
  2. Step 2: Convert to fraction form
    465,336/700,773.75 = 700,773.75/x
  3. Step 3: Cross multiply
    465,336x = 700,773.75 × 700,773.75
  4. Step 4: Simplify right side
    465,336x = 491,083,848,689.06
  5. Step 5: Solve for x
    x = 491,083,848,689.06/465,336
  6. Step 6: Final answer
    x = 1,055,331.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.